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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Dividing Polynomials by Monomials

 What to Do How to Do It 1. Divide a binomial by a monomial usingthe definition of division, the distributive property and the laws of the exponents. 2. Divide 6a5 - 15a7 by - 3a using the definition of division, the distributive property and the laws of the exponents.. 3. Divide a polynomial by a monomial in the same way, watching signs and powers. Divide each term using the distributive property. Reduce each fraction to lowest terms: 4. Simplify the numerator and divide polynomial by a monomial in the same way, watching signs and powers. Divide the polynomial by the monomial Divide each term using the distributive property. Reduce each fraction to lowest terms: Divide a polynomial by a binomial using the methods of long division. The polynomial must be arranged in descending order with spaces left as placeholders for any missing powers. Divide the first term of the binomial exactly into the first term of the polynomial. Multiply the resulting quotient term times all of the binomial. Subtract this product by the rules of algebra, change signs and add → Write the resulting sum and continue : Bring down the next polynomial term and repeat these steps. Look at the first term of the next binomial: Divide x into - 3x → Multiply divisor binomial and subtract this product change signs and add When the remainder of the division of a polynomial by a binomial is equal to zero, the divisor and quotient are called exact divisors or factors of the polynomial. Check by multiplying the divisor by the quotient : (x − 2)( x − 3) = x2 − 5x + 6